PIECEWISE FUNCTIONS for senior high school students particularly in grade 11

this particular topic is for grade 11 students

1. Functions can be used to model real situations. Identifying an appropriate function model will lead to a better understanding of various phenomena. Examples: Represent each function for the following scenarios. 1. Give a function C that can represent the cost of buying x meals, if one meal cost ₱ 40. Solution :Since each meal costs ₱ 40., then the function is C (x) = 40x 2. As an English tutor, the rate per hour is at ₱50.Represent the salary using the function S (h) where h is the number of hours worked. Solution : S(h) =50h

2. In Bacolod City, the average per hour rate that an internet café charges is at ₱20/hour. Determine the function C for the cost of consuming x number of hours. How much will a student pay if he used 2.5 hours to accomplish his school project? Solution: The Cost function for this scenario is C(x) = 20x. By substitution, C(2.5) = (20)(2.5) = ₱50 . Thus, the student must pay ₱50 for the 2.5 hours of internet consumption. Note that C(x) is read as C of x.

3. There are functions that requires more than one formula in order to obtain the given output. There are instances when we need to describe situations in which a rule or relationship changes as the input value crosses certain boundaries. In this case, we need to apply the piecewise function .

4. Santos family allocates ₱2,000 as food budget for each member of their family in a month. Express the total monthly food budget using the function B(n) where n is the number of family members 2. A chat agent working in a call center can encode 1,000 words in every hour. Write the total words W as a function of the x number of hours rendered by the said agent. QUIZ # 2

5. Direction: Fill in the missing terms to show the piecewise function of the problem.

6. Thank you